Question

Tentukan himpunan penyelesaian sistem persamaan linier berikut dengan metode kombinasi substitusi - eliminasi
4x + 3y = 8
2x + 5y = 11

Answer 1

Dengan  eliminasi i
4x + 3y = 8
2x + 5y = 11  ...(x2)
...
4x + 3y = 8
4x +10y = 22
....kurangkan
-7y = - 14
y = 2 substitusikan ke 4x + 3y = 8
4x + 6 = 8
4x = 2
x = 1/2

Answer 2

Eliminasi :
4x + 3y = 8 (×1)
2x + 5y = 11 (×2)

4x + 3y = 8
4x + 10y = 22
_______________-
-7y = -14
y = -14/-7
y = 2

subtitusi ke persamaan 1
4x + 3y = 8
4x +3(2) = 8
4x + 6 = 8
4x = 8-6
4x = 2
x = 2/4
x = 0,5